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Statistics - Probability

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A golf course in Hawaii has determined that the mean time it takes for a group to complete an 18 hole round of golf is 4 hours 35 minutes or 275 minutes with a standard deviation of 14 minutes. The time distribution is also thought to be approximately normal. On a monthly basis, the head pro at the course randomly selected a sample of 8 groups and monitored the time it takes them to play. Suppose the mean time that was observed for the sample last month was 4 hours 44 minutes (284 minutes). What is the probability of seeing a sample mean this high or higher

a. Approximately .0351
b. Approximately .4649
c. About .9298
d. About .9649

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